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21.3. Set Up:
Since the field is uniform over the plane of the coil,
Solve:
Half the flux means half the area,
so
with
This gives
21.4. Set Up:
A
is constant and
B
is changing.
Solve: (a)
(b)
21.5. Set Up:
A
is constant and
B
is changing.
Solve:
21.6. Set Up:
is the flux through each turn of the coil.
Solve: (a)
The total flux through the
coil is
(b)
21.7. Set Up:
is the angle between the normal to the loop and
so
and
Solve:
Reflect:
The flux changes because the orientation of the coil relative to the magnetic field changes.
21.8. Set Up:
and
Solve:
21.9. Set Up:
Since the field is uniform,
Since the plane of the circuit is perpendicular to the field,
and
A
is constant and
B
is changing, so
and
The
current in the circuit is given by Ohm’s law,
Solve:
Reflect:
The induced emf depends on the rate of change of the flux so it depends on the rate at which
B
is changing.
It does not depend on the initial magnitude of the field.
I
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 Spring '07
 Shoberg

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